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2 cards from this section. Quick, good the night before a test.
What does Maxwell’s Reciprocal Theorem state?
Think about the relationship between two points in a structure.
What are the key assumptions of the theorem?
List conditions that must be met for the theorem to be valid.
What is Maxwell's Reciprocal Theorem?
Think about how forces affect multiple points within a structure.
Is linear elasticity a requirement for Maxwell’s theorem?
Consider what happens to materials outside their elastic limits.
A beam with a length of 10 m has point loads of 5 kN at points A and B, located at 3 m and 7 m respectively. Calculate the deflections at points A and B using Maxwell's Reciprocal Theorem.
Use the formulas for deflection based on point loads and remember to verify that loading conditions are linear.
Discuss how Maxwell’s theorem applies when evaluating a statically indeterminate beam subjected to several loads. What additional principles might be involved?
Think of balance between energy methods and static conditions in analysis.
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